Question

verify that a+b =b+a for each of tha following (1) a= 3\7 , b = -1/5​

Answer 1

Step-by-step explanation:

$\frac{3}{7} + \frac{ - 1}{5} = \frac{ - 1}{5} + \frac{3}{7} \\ \frac{15 + (- 7)}{35} = \frac{( - 7) + 15}{35} \\ \frac{8}{35} = \frac{8}{35} \\ lhs \: = rhs \: hence \: proved$

Answer 2

$\large\bold{\underline{\underline{Given:-}}}$

$a = \frac{3}{7}$

$b = \frac{ - 1}{5}$

$\large\bold{\underline{\underline{To\:verify:-}}}$

$a + b = b + a$

$\large\bold{\underline{\underline{Solution:-}}}$

Let us first solve for L. H. S.

$:⟼$ $\frac{3}{7} + ( \frac{ - 1}{5} )$

$:⟼$ $\frac{3 \times 5}{7 \times 5} - \frac{ 1 \times 7}{5 \times 7}$

$:⟼$ $\frac{15 - 7}{35}$

$:⟼$ $\frac{8}{35}$

Next, R. H. S.

$:⟼$ $b + a$

$:⟼$ $\frac{ - 1}{5} + \frac{3}{7}$

$:⟼$ $\frac{ - 1 \times 7}{5 \times 7} + \frac{3 \times 5}{7 \times 5}$

$:⟼$ $\frac{ - 7 + 15}{35}$

$:⟼$ $\frac{8}{35}$

Since L. H. S. = R. H. S.

$\boxed{ Hence\:verified. }$